to the constraints:

$g_1(x,y,z)$:$-x-100$

$g_2(x,y,z)$:$-y-150$

$g_3(x,y,z)$:$-z-50$

$g_4(x,y,z)$:$x+y+z17$

$g_5(x,y,z)$:$x^2+y^2+z^{2}30$

Solve this optimization problem using an Excel solver or any optimization software you choose. Comment on the result.